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Finding the Fourth Proportional to 1,253.18, 1,729.04 and 810.70

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Solution

The fourth proportional to 1,253.18, 1,729.04 and 810.70 is: 1,118.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.18 : 1,729.04 = 810.70 : x
  2. Step 2: Convert to fraction form
    1,253.18/1,729.04 = 810.70/x
  3. Step 3: Cross multiply
    1,253.18x = 1,729.04 × 810.70
  4. Step 4: Simplify right side
    1,253.18x = 1,401,732.73
  5. Step 5: Solve for x
    x = 1,401,732.73/1,253.18
  6. Step 6: Final answer
    x = 1,118.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.